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Finding the Third Proportional to 136,344 and 291,640

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Solution

The third proportional to 136,344 and 291,640 is: 623,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,344 : 291,640 = 291,640 : x
  2. Step 2: Convert to fraction form
    136,344/291,640 = 291,640/x
  3. Step 3: Cross multiply
    136,344x = 291,640 × 291,640
  4. Step 4: Simplify right side
    136,344x = 85,053,889,600
  5. Step 5: Solve for x
    x = 85,053,889,600/136,344
  6. Step 6: Final answer
    x = 623,818.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.